(Last modified Oct. 31, 2002. The course of the whole semester is now available, with minor adjustments to be made as necessary.)
Tues 9/3 | Sect. 1.1 | Modelling | Exer. 1,3,10,13,14. |
Thur 9/5 | Sect. 1.2 | Separation of variables | Exer. 1,2,5,6,7,14,25. |
Tues 9/10 | Sect. 1.3 | Geometry of slope fields | Exer. 8,9,11,12ab,15. |
Thur 9/12 | Sect. 1.5 | Existence and Uniqueness | Exer. 1-8, 9ab, 12, 14, 15. |
Tues 9/17 | Sect. 1.6 | Equilibria and phase line |
Exer. 2,3,7,8,9,14,15,19-21,30,39,40.
Use dfield5 in place of PhaseLines if you wish. |
Sect. 1.7 | Bifurcations | Exer. 1,3,4,7,8,15. | |
Thur 9/19 | Sect. 1.8 | Linear Equations | Exer. 1-5, 8, 10, 11, 23, 24, 26, 27. |
Tues 9/24 | Sect. 2.1 | Systems | Exer. 1, 15, 17, 19. |
Thur 9/26 | Sect. 2.2 | Geometry | Exer. 11, 13-16. |
Sect. 2.4 | Existence and Uniqueness | Exer. 7-9. | |
Tues 10/1 | Review | ||
Thur 10/3 | Test 1 | Chapters 1 and 2. | |
Tues 10/8 | Lab 1 due. | ||
Sect. 3.1 | Linear Systems | Exer. 5, 8, 17, 18, 24, 26, 33, 34. | |
Sect. 3.2 | Eigenvectors | Exer. 1, 2, 9, 11, 15, 16, 17. | |
Thur 10/10 | Sect. 3.3 | Real Eigenvalues | Exer. 1-12. |
Tues 10/15 | Sect. 3.4 | Complex eigenvalues | Exer. 1, 3-6, 9-12. |
Thur 10/17 | Sect. 3.5 | Special cases | Exer. 1-8, 10, 11. |
Tues 10/22 | Sect. 3.6 | Second Order | Exer. 1-8, 10, 11. |
Thur 10/24 | Sect. 3.7 | Trace-Determinant | |
Tues 10/29 | Sect. 3.8 | Three Dimensions | Exer. 3, 4, 6, 14, 16, 17. |
Thur 10/31 | Sect. 4.1 | Forced Harmonic Oscillators | Exer. 1, 2, 4, 10, 13-15, 19. |
Tues 11/5 | Sect. 4.2 | Sinusoidal Forcing | |
Thur 11/7 | Sect. 4.3 | Resonance | |
Tues 11/12 | Sect. 4.4 | Steady State | |
Lab 2 due. | Lab 2 is Lab 3.1 on p. 362. | ||
Thur 11/14 | Test 2 | Chapters 3 and 4. | |
Tues 11/19 | Sect. 5.1 | Equilibria | Exer. 1-5, 16-20. |
Thur 11/21 | Sect. 5.2 | Qualitative Analysis | Exer. 1, 3, 9, 13, 14, 15, 21-23. |
Tues 11/26 | Sect. 5.2 | Continued | |
Thur 11/28 | Thanksgiving Break | ||
Tues 12/3 | Sect. 5.3 | Hamiltonian Systems | Exer. 2, 3, 9, 11-13, 14, 15. |
Thur 12/5 | Sect. 5.4 | Dissipative Syatems | Exer. 1, 2, 3, 12, 13, 19, 20, 21. |
Tues 12/10 | Review | ||
Tues 12/17 | FINAL EXAM | (Comprehensive) | 6:00 - 7:20, in 229 State Hall. |